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Poisson-Dirichlet scaling limits of Kemp's supertrees by Stufler, Benedikt is a scholarly article available to read on EtoBox.

What is Poisson-Dirichlet scaling limits of Kemp's supertrees about?

We determine the Gromov--Hausdorff--Prokhorov scaling limits and local limits of Kemp's $d$-dimensional binary trees and other models of supertrees. The limits exhibit a root vertex with infinite degree and are constructed by rescaling infinitely many independent stable trees or other spaces according to a function of a two-parameter Poisson--Dirichlet process and gluing them together at their roots. We discuss universality aspects of random spaces constructed in this fashion and sketch a phase diagram.

Author

Stufler, Benedikt

Published

2023

Language

EN